It should, I posted some similar info on a different thread a few minutes ago. The reason that you have a period while on the pill is because you stop taking progesterone and your body is going through withdrawl. So it would kinda make sense that if you start taking the pill again then it would stop. You might suffer some break through bleeding though. I guess you can always try it and see how it works out. It doesn't cause you any harm to skip a period.